WILL GIVE BRAINLIEST A Jewelry artist is selling at an fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.00. The artist is selling the necklaces at $12 each.
The inequality 12n>145+4n represents the situation in which the artist a profit.

a) Since the income is more than the cost, she makes a profit.

b) To make profits, she must sell at least 17 necklaces

Step-by-step explanation:

Inequalities

The costs of selling jewelry at a fair are $135 to rent a booth and $4 for each necklace. The cost function is:

C(n) = 135 + 4n

Where n is the number of necklaces she sells at the fair. She sells each necklace at $12 each, thus the income function is:

R(n) = 12n

a) If she sells n=17 necklaces, it will cost:

C(17) = 135 + 4*17 = 203

And the income is:

R(17) = 12*17= 204

Since the income is more than the cost, she makes a profit.

b) To make a profit R(n) > C(n), thus:

12n > 135 + 4n

Subtracting 4n:

8n > 135

n > 135/8

n > 16.875

Thus, to make profits, she must sell at least 17 necklaces

answer: the answer is e

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752